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Q.

 The remainder we get when we divide 2740 by 12 is


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a

  9

b

  16

c

  12

d

  20  

answer is A.

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Detailed Solution

 We know that 27 3 (mod 12)
  then a = b (mod n), then am bm (mod n)   --------(1)
  Question Image Question Image  ----------- (2)
Question Image  Question Image   -----------(3)
Question Image ------------(4)
Question Image ------------(5)
Question Image   ------------(6)
     Question Image  ----------(7)
Question Image    ----------(8)
Question Image    ----------(9)
Question Image    -----------(10)
Question ImageQuestion Image  ----------(11)
Question ImageWhich gives that 9 is subtracted from 2740 then which is divisible by 12.
then remainder is 9.
     
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